Question

♦prove that : Sin A - 2 Sin ^3 A / 2 Cos ^3 A - Cos A = Tan A ...

Answer 1

Step-by-step explanation:

 Question is incorrect due to lack of brackets.  

Should it read as :-  

Prove that ( sin A - 2 sin ³ A ) / ( 2 cos ³ A - cos A ) = tan A ?  

if so :-  

LHS  

sin A ( 1 - sin ² A ) / [ cos A ( 2 cos ² A - 1 ) ]  

sin A ( 2 cos ² A - 1 )  

-------------------------------  

cos A ( 2 cos ² A - 1 )  

sin A  

--------  

cos A  

tan A

Answer 2

Here is your answer.